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pychu [463]
3 years ago
8

I need help please help!

Mathematics
1 answer:
Rashid [163]3 years ago
8 0

Answer:

it's the first one.......

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Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 6x(1/3) + 3x(4/3). You must justi
stealth61 [152]
Applying our power rule gets us our first derivative,

\rm f'(x)=6\frac13x^{-2/3}+3\cdot\frac43x^{1/3}

simplifying a little bit,

\rm f'(x)=2x^{-2/3}+4x^{1/3}

looking for critical points,

\rm 0=2x^{-2/3}+4x^{1/3}

We can apply more factoring.
I hope this next step isn't too confusing.
We want to factor out the smallest power of x from both terms,
and also the 2 from each.

0=2x^{-2/3}\left(1+2x\right)

When you divide x^(-2/3) out of x^(1/3),
it leaves you with x^(3/3) or simply x.

Then apply your Zero-Factor Property,

\rm 0=2x^{-2/3}\qquad\qquad\qquad 0=(1+2x)

and solve for x in each case to find your critical points.

Apply your First Derivative Test to further classify these points. You should end up finding that x=-1/2 is an relative extreme value, while x=0 is not.

Let's come back to this,

\rm f'(x)=2x^{-2/3}+4x^{1/3}

and take our second derivative.

\rm f''(x)=-\frac43x^{-5/3}+\frac43x^{-2/3}

Looking for inflection points,

\rm 0=-\frac43x^{-5/3}+\frac43x^{-2/3}

Again, pulling out the smaller power of x, and fractional part,

\rm 0=-\frac43x^{-5/3}\left(1-x\right)

And again, apply your Zero-Factor Property, setting each factor to zero and solving for x in each case. You should find that x=0 and x=1 are possible inflection points.

Applying your Second Derivative Test should verify that both points are in fact inflection points, locations where the function changes concavity.
8 0
3 years ago
5. A function is given below.<br> f(x) = 3x2 - x + 6<br> What is f(2)?<br> 2
goldenfox [79]

Answer:   10

Step-by-step explanation:

f(x)= 3 (2) - x + 6

f(x)= 6 - 2 + 6

f(x)=  4 + 6

f(x) = 10

7 0
3 years ago
Read 2 more answers
30 points ! <br><br> Please answer the question in the picture
vaieri [72.5K]

Answer:

thatl be 5

Step-by-step explanation:

8 0
2 years ago
Somebody please help me. This makes zero sense.
earnstyle [38]

Answer:

d

Step-by-step explanation:

rearrange it like an equation.

take everything else out of the middle apart from x.

make sure that what you do to the middle you do to both sides

6 0
2 years ago
How would you symplify 5 and the square root of 90?<br><br> Please show steps
myrzilka [38]
First you have to find the square root of 90 which is about 9.5
now multiply, divide, add, or subtract 5 from 9.5 to get your answer.
8 0
3 years ago
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